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A042151 Denominators of continued fraction convergents to sqrt(600). 3
1, 2, 97, 196, 9505, 19206, 931393, 1881992, 91267009, 184416010, 8943235489, 18070886988, 876345810913, 1770762508814, 85872946233985, 173516654976784, 8414672385119617, 17002861425216018, 824552020795488481, 1666106903016192980, 80797683365572751521 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,98,0,-1).

FORMULA

G.f.: -(x^2-2*x-1) / ((x^2-10*x+1)*(x^2+10*x+1)). - Colin Barker, Dec 02 2013

a(n) = 98*a(n-2) - a(n-4) for n>3. - Vincenzo Librandi, Jan 15 2014

MATHEMATICA

Denominator[Convergents[Sqrt[600], 30]] (* Vincenzo Librandi, Jan 15 2014 *)

LinearRecurrence[{0, 98, 0, -1}, {1, 2, 97, 196}, 30] (* Harvey P. Dale, Jul 04 2022 *)

PROG

(MAGMA) I:=[1, 2, 97, 196]; [n le 4 select I[n] else 98*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Jan 15 2014

CROSSREFS

Cf. A042150, A040575.

Sequence in context: A139884 A297423 A189313 * A233192 A065592 A233767

Adjacent sequences:  A042148 A042149 A042150 * A042152 A042153 A042154

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 02 2013

STATUS

approved

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Last modified August 13 12:57 EDT 2022. Contains 356091 sequences. (Running on oeis4.)